14305042120 has 64 divisors (see below), whose sum is σ = 33163603200. Its totient is φ = 5549287680.

The previous prime is 14305042099. The next prime is 14305042121. The reversal of 14305042120 is 2124050341.

14305042120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14305042091 and 14305042100.

It is not an unprimeable number, because it can be changed into a prime (14305042121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444741 + ... + 475819.

It is an arithmetic number, because the mean of its divisors is an integer number (518181300).

Almost surely, 2^14305042120 is an apocalyptic number.

14305042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14305042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581801600).

14305042120 is an abundant number, since it is smaller than the sum of its proper divisors (18858561080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14305042120 is a wasteful number, since it uses less digits than its factorization.

14305042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31438 (or 31434 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 14305042120 its reverse (2124050341), we get a palindrome (16429092461).

The spelling of 14305042120 in words is "fourteen billion, three hundred five million, forty-two thousand, one hundred twenty".